Chapter 2 with Answers
1.
Which one of the followings
is a scalar?
(a)
Energy (b)
Velocity
(c) Force (d)
Torque
2.
Which one of the followings
is a vector?
(a)
Length (b)
Volume
(c) Velocity (d)
Work
3.
In which one of the
followings are all the three quantities vectors?
(a)
Displacement, velocity,
energy
(b)
Force, work, energy
(c)
Displacement, velocity,
momentum
(d)
Velocity, acceleration,
power
4.
The reverse process of
adding two vectors is called
(a)
multiplication (b) subtraction
(c) resolution (d) none of these
5.
The resultant of two
vectors of equal magnitude inclined at some angle is equal to the magnitude of
either of the two vectors. The angle between the two is
(a)
60° (b)90°
(c) 120° (d)
180°
6.
Tick the answer which is
correct for R = A + B.
7.
Which figure
represents R = U – V?
8.
The result of adding A into – A is
(a)
A (b)
2 A
(c) O
(d)
0
9.
The unit vector of a
vector A is given by
10.
When a certain vector is
multiplied by – 1, then the direction of the vector changes through
(a)
90° (b)
120°
(c) 150° (d)
180°
11.
Rectangular components make
an angle of
(a)
0° (b)
60°
(c) 90° (d)
120°
12.
The minimum number of
unequal forces whose vector sum is zero must be
(a)
1 (b)
2
(c) 3 (d)
4
13.
One of the rectangular
components of a velocity of
50 ms-1 is 30 ms-1. The other
component in ms-1 is
(a)
15 (b)
20
(c)
25 (d)
40
^ ^
14.
For the two vectors Ax = (20 N) i , Ay= (20 N) j , the angle made by
the resultant vector A with the x-axis is
(a)
45° (b)
135°
(c) 215° (d)
315°
15.
Which of the following
forces cannot be added to give of a resultant of 2 N?
(a)
1 N and 1 N (b)
1 N and 2 N
(c) √2 N and √2
N (d) 1 N and 3 N
16.
Magnitude of the resultant
of two vectors A1 and A2 inclined at an angle theta to each other is
17.
Two forces act together on
an object. The magnitude of their resultant is least when the angle between
them is
(a)
45° (b)
60°
(c) 90° (d)
180°
18.
If |A+B| = |A – B| where A and B are two vectors of equal
magnitudes, then the angle between A and B is
(a)
0° (b)
60°
(c) 90° (d)
180°
^ ^
19.
The angle subtended by r =
3 i + 4 j with x-axis is
(a)
53° (b)
30°
(c) 41° (d) 60°
^ ^
20.
The magnitude of a
vector A = Ax i –
Ay j is
21.
The dot product of two
non-zero vectors equals the product of their magnitudes only if the angle
between them is
(a)
0° (b)
90° (c) 120°
(d)
180°
22.
For which of the followings
pair of angles, the dot product of two vectors is equal to the one half of the
product of magnitudes of two vectors?
(a)
60° and 120° (b)
60° and 240°
(c)
60° and 300° (d)
none of these
23.
For a vector A,
(a)
A • A = 0 (b) A • A
= 1
(c) A • A = A (d) A • A
= A2
24.
Which one of the followings
is correct?
^ ^ ^ ^ ^
(a)
i •
j = k (b) i
• j = 0
^ ^ ^ ^ ^
(c)
i •
j = 1 (d) i
• j = –k
^ ^ ^
25.
Given A = 2i – 2j + k , the magnitude of this vector is
(a)
1 (b)
2
(c) 3 (d)
5
26.
If A x B lies along + z-axis, the
vectors A and B will be in
(a)
xz-plane (b)
xy-plane
(c) yz-plane (d)
x-direction only
27.
The cross product of two
non-zero parallel vectors A and B is
(a)
AB sin θ (b)
AB
^
(c) AB sin θ n (d) O
28.
Which of the followings is
incorrect?
^ ^ ^ ^ ^ ^
(a)
i x j
= k (b)
k x j = –
i
^ ^ ^ ^
(c) j x j
= 0 (d) i x j =
0
^ ^ ^ ^
29.
If A = Ax i + Ay j and B = Bx i + By j are two non-
parallel vectors, then the
direction of A x B is along
(a)
A (b) B
(c) x-axis (d)
z-axis
^ ^ ^ ^
30.
If A = A1 i + A2 j and B = B1 i + B2 j , the
number of components in the vector A B is
(a)
1 only (b)
2 only
(c) 3 only (d)
4 only
31.
If A x B = 0 and A x B = 0, then
(a)
either A or B is a null
vector.
(b)
A and B are
non-parallel.
(c)
A and B are perpendicular
to each other.
(d)
A and B are parallel to
each other.
32.
The vector product is
(a)
commutative (b)
anticommutative
(c)
associative (d)
additive
33.
The cross product of two
vectors has a magnitude equal to the product of their magnitudes. Their dot
product is equal to
(a)
AB sinθ (b)
AB cosθ
(c) AB (d) 0
34.
Torque produced by a force
depends upon
(a)
magnitude of the force and
the angular velocity
(b)
magnitude of the force and
displacement (c) magnitude of the force
and moment arm (d) force and acceleration of the body.
35.
A couple consists of
(a)
two equal and opposite
forces acting at two different points on the body
(b)
two equal and parallel
forces acting at two different points
(c) two equal and opposite
force acting at a point on the body (d) two equal and parallel force
acting at a point on the body.
36.
The arm of a couple is
(a)
any distance between the
forces
(b)
the shortest distance
between the forces
(c)
perpendicular distance
between the two forces (d)
the longest distance between the two forces.
37.
If the resultant of all the
forces acting on a body is zero, then
the body
(a)
has angular momentum
(b) has acceleration
(c) is at rest
(d)
is in translational equilibrium
38.
Three coplanar forces
acting on a body keep it in equilibrium. The forces must be
(a)
collinear (b)
concurrent
(c) non-concurrent (d) parallel
39.
If the line of action of
the force passes through the axis of rotation, then the torque is
(a)
zero (b) maximum
(c) clockwise in
direction (d) counter clockwise in
direction
40.
ˆi (ˆj k)ˆ equals
(a)
ˆi (b) kˆ
(c) 1 (d) 0
Key to Test Chapter 2
|
1
|
a
|
21
|
a
|
|
2
|
c
|
22
|
c
|
|
3
|
c
|
23
|
d
|
|
4
|
c
|
24
|
b
|
|
5
|
c
|
25
|
c
|
|
6
|
d
|
26
|
b
|
|
7
|
b
|
27
|
d
|
|
8
|
c
|
28
|
d
|
|
9
|
c
|
29
|
d
|
|
10
|
d
|
30
|
a
|
|
11
|
c
|
31
|
a
|
|
12
|
c
|
32
|
b
|
|
13
|
d
|
33
|
d
|
|
14
|
a
|
34
|
c
|
|
15
|
b
|
35
|
a
|
|
16
|
a
|
36
|
c
|
|
17
|
d
|
37
|
d
|
|
18
|
c
|
38
|
b
|
|
19
|
a
|
39
|
a
|
|
20
|
b
|
40
|
d
|
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